Abstract: he problem of stiffness matrix correction using test data is discussed in this pa-per Based on the characteristic equation,the symmetry and positive semidefiniteness of stiff-ness matrix,the existence and uniqueness of solution to the problem is studied by means of tbe theory and method of the algebraic inverse eigenvalue problems. Anew method of stiffness ma-trix correction is preesented.The stiffness matrix corrected by the method not only satisfies the characteristic equation,but also is the unique symmetric positive semidefinite matrix.

Key words: structural model, dynamic experiment, inverse problem